Would it be a bad idea to allow invites to boss floors at least before activating the boss fight and allow the person invited to net 1 token? 1 token in itself isn't a whole lot but someone coming to fight the boss is still going through a lot of work so a little reward seems justified. If necessary you could enforce a bigger energy cost to accept a boss floor invite if 10 energy = 1 token seems too broken. I can imagine the OP's pain in being left stranded in a situation they can't manage. At least in other types of floors you can call in help.

I do not agree with the thought of reporting people just because they kicked you though. For one, the whole idea of a party leader is allowing them control over the party. It's really their choice to kick someone if they feel said person might hinder them, especially when you're dealing with a difficult battle like that. Reporting that would be akin to throwing a fit because the cool kids won't let you play with them anymore.

Perhaps a warning would have been nice but then you're dealing with another language anyway. I obviously don't know the specifics of this particular adventure but it would be hard to ask you if you didn't understand them. Perhaps they did ask and you, of course, missed it because you don't speak their language.

That brings us to the other problem with reporting people - no GM can possibly know what actually happened during a Clockworks run. Say someone got kicked for trolling the team or just being a general nuisance. They then go report the party leader for unjustly kicking them. How does the GM know what happened? Asking the other party members who are either more likely to side with the party leader since they didn't get kicked or won't remmeber anyway because it was one of many random adventures and thus can't be expected to actually remember the names of each and every party member?

I don't really remember what the situation is like for setting language but this seems like a moot point since people can still select to party with anyone if they want anyway. Usually you'll be tagged up with your own language people anyway if you're set it like that but sometimes you'll end up with people who won't speak your language. That's the risk you run with random teams. If it's a problem make use of a guild, friends or asking in the forums for reliable English speaking partners who are willing to lend a helping hand as needed and avoid random teams for situations where you don't think you can handle it alone on the offchance you get kicked or your team members leave on the last lift before the boss.

-----

tl;dr Reporting would be unjust and completely unenforceable. Allowing a boss floor invite, even with low rewards and/or increased energy costs for accepting would remove the need to report in the first place.

Oh if your just looking for a history, theres something called a chat log. i use it to check if i join a PUG and its empty [means got kicked by someone, most of the time they discuss whether to kick], just click the up arrow at the bottom left of your chat, then search for either things they said, or more commonly, mats they gained as their names are displayed when they obtain mats

Hope this helps, though i dont know how its gonna help you